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Finding the Third Proportional to 232,235 and 508,729

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Solution

The third proportional to 232,235 and 508,729 is: 1,114,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,235 : 508,729 = 508,729 : x
  2. Step 2: Convert to fraction form
    232,235/508,729 = 508,729/x
  3. Step 3: Cross multiply
    232,235x = 508,729 × 508,729
  4. Step 4: Simplify right side
    232,235x = 258,805,195,441
  5. Step 5: Solve for x
    x = 258,805,195,441/232,235
  6. Step 6: Final answer
    x = 1,114,410.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.